(10 points) We are building a thin triangular plate with variable density. The tri- angle has vertices (0,0), (2,0), and
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(10 points) We are building a thin triangular plate with variable density. The tri- angle has vertices (0,0), (2,0), and
(10 points) We are building a thin triangular plate with variable density. The tri- angle has vertices (0,0), (2,0), and (2,4), and the density (in g/cm²) at each point in the triangle is given by the formula 8(x, y) = 5 + 4x – 6y + y2. At what point(s) is the density of the triangle the least or the greatest? What is the density at these points?
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